A conformally invariant classification theorem in four dimensions

作者:Chen, Bing Long*; Zhu, Xi Ping
来源:Communications in Analysis and Geometry, 2014, 22(5): 811-831.
DOI:10.4310/CAG.2014.v22.n5.a2

摘要

In this paper, we prove a classification theorem of 4-manifolds according to some conformal invariants, which generalizes the conformally invariant sphere theorem of Chang-Gursky-Yang [2]. Moreover, it provides a four-dimensional analog of the well-known classification theorem of Schoen-Yau [18, 19] on 3-manifolds with positive Yamabe invariants.